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Finding the Fourth Proportional to 38,415.60, 57,329.10 and 29,602.80

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Solution

The fourth proportional to 38,415.60, 57,329.10 and 29,602.80 is: 44,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.60 : 57,329.10 = 29,602.80 : x
  2. Step 2: Convert to fraction form
    38,415.60/57,329.10 = 29,602.80/x
  3. Step 3: Cross multiply
    38,415.60x = 57,329.10 × 29,602.80
  4. Step 4: Simplify right side
    38,415.60x = 1,697,101,881.48
  5. Step 5: Solve for x
    x = 1,697,101,881.48/38,415.60
  6. Step 6: Final answer
    x = 44,177.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.